Timeline for what is this sum of squares of algebraic functions?
Current License: CC BY-SA 3.0
20 events
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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Feb 3, 2017 at 13:56 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 31, 2017 at 13:39 | vote | accept | T. Amdeberhan | ||
Jan 31, 2017 at 8:02 | answer | added | Bruno Salvy | timeline score: 3 | |
Jan 29, 2017 at 20:01 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 29, 2017 at 18:47 | answer | added | user64494 | timeline score: 3 | |
Jan 29, 2017 at 16:33 | comment | added | user64494 | You are right. Then see dropbox.com/s/abh5ejhje0lj4yt/sum2.pdf?dl=0 . | |
Jan 29, 2017 at 16:23 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 29, 2017 at 15:45 | comment | added | T. Amdeberhan | You are missing $k=0$ in the sum for $h_N(x)$. The term is $g_N(x)^2$. | |
Jan 29, 2017 at 15:22 | comment | added | user64494 | Here dropbox.com/s/0cpub4nd8xp5yxm/small%20sums.pdf?dl=0 it is. However, the result is discouraged. | |
Jan 29, 2017 at 15:03 | comment | added | user64494 | A huge closed-form expression for $h_N(x)$ (obtained with Maple) can be seen here dropbox.com/s/kv0r1zemuu284kt/sum.pdf?dl=0 . It is not nice. I didn't succeed to obtain its asymptotics as $N\to\infty$. | |
Jan 29, 2017 at 11:48 | comment | added | T. Amdeberhan | Good point. Edited. | |
Jan 29, 2017 at 11:47 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 29, 2017 at 4:45 | comment | added | Robert Israel | Do you want to start that last sum at $k=1$? $g_0$ doesn't exist. | |
Jan 29, 2017 at 3:27 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 28, 2017 at 23:19 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 28, 2017 at 17:59 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 28, 2017 at 17:47 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 28, 2017 at 17:42 | history | edited | T. Amdeberhan | CC BY-SA 3.0 |
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Jan 28, 2017 at 17:35 | history | asked | T. Amdeberhan | CC BY-SA 3.0 |